The theory of inner \(\alpha \) -Riesz balayage of arbitrary \(\mu \in \mathfrak {M}^+\)  to arbitrary \(A\subset \mathbb {R}^n\) , originated by the author in [1]} (for \(\alpha =2\) , see the pioneering paper by Cartan [2]}), has recently found a further development in [3]}–[4]}. The present section as well as Sect.  describes some basic facts from [1]}–[4]}, useful for the understanding of the results of the current study and the methods applied.
